Hüsseinov, F.Sagara, N.2016-02-082016-02-0820120165-0114http://hdl.handle.net/11693/21416The main purpose of this paper is to prove the existence of the fuzzy core of an exchange economy with a heterogeneous divisible commodity in which preferences of individuals are given by nonadditive utility functions defined on a σ-algebra of admissible pieces of the total endowment of the commodity. The problem is formulated as the partitioning of a measurable space among finitely many individuals. Applying the Yosida-Hewitt decomposition theorem, we also demonstrate that partitions in the fuzzy core are supportable by prices in L 1. © 2012 Elsevier B.V.EnglishConcave measureFuzzy coalitionFuzzy coreNonatomic vector measureSupporting priceYosida-Hewitt decompositionArtificial intelligenceFuzzy setsDomain decomposition methodsArticle10.1016/j.fss.2011.12.0211872-6801